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Finding the Fourth Proportional to 406,003.76, 560,286.28 and 224,728.16

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Solution

The fourth proportional to 406,003.76, 560,286.28 and 224,728.16 is: 310,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,003.76 : 560,286.28 = 224,728.16 : x
  2. Step 2: Convert to fraction form
    406,003.76/560,286.28 = 224,728.16/x
  3. Step 3: Cross multiply
    406,003.76x = 560,286.28 × 224,728.16
  4. Step 4: Simplify right side
    406,003.76x = 125,912,104,777.65
  5. Step 5: Solve for x
    x = 125,912,104,777.65/406,003.76
  6. Step 6: Final answer
    x = 310,125.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.